#include using namespace std; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n); i >= 0; i--) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 typedef long long ll; vector bitconversion(ll i, ll n, ll N) { //数字iをn進数にして,長さNの配列にして返す。 //例えば,bitconversion(33,3,4)={1,0,2,0}。 ll x = 1; rep(j, N) { x *= n; } vector vec(N); rep(j, N) { x /= n; vec[j] = i / x; i -= x * vec[j]; } return vec; } int main(){ ll N,X,Y; cin >> N >> X >> Y; vector A(X); vector B(Y); rep(i,X) cin >> A[i]; rep(i,Y) cin >> B[i]; vector bit_standa(18, 0); vector bit_standb(18, 0); for (ll i = 0; i < X; i++){ vector bin = bitconversion(A[i], 2, 18); for (ll j = 0; j < 18; j++){ bit_standa[j] += bin[j]; } } for (ll i = 0; i < Y; i++){ vector bin = bitconversion(B[i], 2, 18); for (ll j = 0; j < 18; j++){ bit_standb[j] += bin[j]; } } vector> dp1(18, vector(N + 1, 0));//bitが立っている. vector> dp2(18, vector(N + 1, 0));//bitが立っていない. vector> dp3(18, vector(N + 1, 0));//bitが立っている. vector> dp4(18, vector(N + 1, 0));//bitが立っていない. for (ll i = 0; i < 18; i++){ dp2[i][0] = 1; } for (ll i = 0; i < 18; i++){ for (ll j = 0; j < N; j++){ dp3[i][j] = (dp3[i][j] + dp1[i][j] * X) % mod2; dp3[i][j] = (dp3[i][j] + dp2[i][j] * bit_standa[i]) % mod2; dp4[i][j] = (dp4[i][j] + dp2[i][j] * (X - bit_standa[i])) % mod2; dp1[i][j + 1] = (dp1[i][j + 1] + dp3[i][j] * bit_standb[i]) % mod2; dp2[i][j + 1] = (dp2[i][j + 1] + dp3[i][j] * (Y - bit_standb[i])) % mod2; dp2[i][j + 1] = (dp2[i][j + 1] + dp4[i][j] * Y) % mod2; } } vector pow_2(18); pow_2[0] = 1; for (ll i = 0; i < 17; i++){ pow_2[i + 1] = pow_2[i] * 2; } ll ans = 0; for (ll i = 0; i < 18; i++){ ans = (ans + dp1[i][N] * pow_2[17 - i]) % mod2; } cout << ans << endl; }